How do you find the antiderivative of int sqrt(x^2-1) dx? - Socratic
Mar 5, 2017 · = 1/2 x sqrt(x^2 - 1) - 1/2 cosh^(-1) (x) + C When you say you want the "anti-derivative" of int sqrt(x^2-1) dx, I am assuming you mean you want the "anti-derivative" that is …
Evaluate the integral? int ln tanh(x/2)/cosh^2x dx - Socratic
Jul 24, 2017 · I got = tanh(x)ln(tanh(x/2)) - 2arctan(tanh(x/2)) + C, " "x > 0 DISCLAIMER: VERY LONG ANSWER! Well, I don't work with hyperbolics much, but I do know that: the derivative of …
How do you differentiate# y=cosh^-1sqrt(x^2+1)#? - Socratic
Apr 12, 2017 · The answer is =x/(|x|sqrt(x^2+1) We need (coshx)'=sinhx cosh^2x-sinh^2x=1 sinh^2x=cosh^2x-1 Let rewrite ...
How is the integral of int x / ( sinh(x) + cosh(x) ) dx? - Socratic
May 16, 2018 · The identity #cosh^2(x)- sinh^2(x)=1# tells us that the denominator is -1: #int x / ( sinh(x) + cosh(x) ) dx = int (xsinh(x)-xcosh(x)) / -1 dx# Eliminate the denominator by changing …
How do you find the derivative of #y = e^cosh(2x)#? - Socratic
Jun 7, 2016 · How do you find the derivative of #y = e^cosh(2x)#? Calculus Basic Differentiation Rules Chain Rule. 1 Answer
What is intsinh(x)cosh(x)dx? - Socratic
Mar 8, 2018 · 1/4cos2h(x)+C int sinh(x)*cosh(x)*dx =1/2int sin2h(x)*dx =1/4cos2h(x)+C
How do you find the derivative of #cosh(ln x)#? - Socratic
Apr 2, 2015 · let y = cosh(lnx) => y = 1/2*(e^(lnx) - e^(-lnx)) = 1/2*(e^(lnx) + e^(lnx^-1)) = 1/2(x + x^-1) (dy)/(dx) = 1/2(1 + (-1)*x^-2) = 1/2((x^2 - 1)/x^2) = (x^2 - 1)/(2x^2)
Find the length of the curve y=ln e^x-1/e^x+1 from x=1 to x=2 ...
May 30, 2018 · 1332 views around the world You can reuse this answer ...
T_n(x) is the Chebyshev polynomial of degree n. The FCF cosh_(cf …
Sep 10, 2016 · T_2(x)=2x^2-1 The FCF is generated by y=cosh(T_2(x)(1+1/y)) A discrete analog for approximating y is the ...
How do you simplify cosh(ln x^2)? - Socratic
Feb 25, 2018 · We haven't covered this in class yet, but I would like to know how to simplify this.